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Finding the Fourth Proportional to 12,770.38, 19,173.50 and 6,534.87

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Solution

The fourth proportional to 12,770.38, 19,173.50 and 6,534.87 is: 9,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.38 : 19,173.50 = 6,534.87 : x
  2. Step 2: Convert to fraction form
    12,770.38/19,173.50 = 6,534.87/x
  3. Step 3: Cross multiply
    12,770.38x = 19,173.50 × 6,534.87
  4. Step 4: Simplify right side
    12,770.38x = 125,296,329.95
  5. Step 5: Solve for x
    x = 125,296,329.95/12,770.38
  6. Step 6: Final answer
    x = 9,811.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.